791689140 has 288 divisors, whose sum is σ = 2773854720. Its totient is φ = 187920000.

The previous prime is 791689117. The next prime is 791689147. The reversal of 791689140 is 41986197.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (791689147) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3154015 + ... + 3154265.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^791689140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 791689140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386927360).

791689140 is an abundant number, since it is smaller than the sum of its proper divisors (1982165580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

791689140 is a wasteful number, since it uses less digits than its factorization.

791689140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 791689140 is about 28136.9710523361. The cubic root of 791689140 is about 925.0919372948.

The spelling of 791689140 in words is "seven hundred ninety-one million, six hundred eighty-nine thousand, one hundred forty".